Finite Analytic Explicit Scheme for Viscous Burgers' Equationby Weizhong Dai, Univ of Iowa, Iowa City, United States,
Ching Jen Chen, Univ of Iowa, Iowa City, United States,
Abstract: Burgers' equation is numerically analyzed by finite analytic method. The basic idea of finite analytic method is to incorporate the analytic solution of partial differential equation in a given finite element in obtaining the discrete algebraic representation of the differential equation. In this paper, a finite analytic explicit numerical scheme is obtained based on the analytic characteristic solution for viscous Burgers' equation. The scheme is employed to solve several unsteady and steady fluid flow problems.
Subject Headings: Finite element method | Fluid flow | Navier-Stokes equations | Differential equations | Steady flow | Unsteady flow
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